CrossRef Open Access 1999 14 sitasi

POSITIVE SOLUTIONS IN AN ANNULUS FOR NONLINEAR DIFFERENTIAL EQUATIONS ON A MEASURE CHAIN

CHUAN-JEN CHYAN JOHNNY HENDERSON HUI-CHUN LO

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Abstrak

We study the existence of positive solutions of the second order differential equation in an annulus on a measure chain, $u^{\Delta\Delta}(t) + f(u(\sigma(t))) = 0$, $t \in [0, 1]$, satisfying the boundary conditions, $\alpha y(0)-\beta y^\Delta(0)=0$ and $\gamma y(\sigma(1))+\delta y^\Delta ((1))=0$, where $f$ is a positive function and $f(x)$ is sublinear (respectively supcrlinear) at $x = 0$ and is superlinear (respectively sublinear) at $x = \infty$· The methods involve applications of a fixed point theorem for operators on a cone in a Banach space.

Penulis (3)

CHUAN-JEN CHYAN

JOHNNY HENDERSON

HUI-CHUN LO

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APA MLA BibTeX

CHYAN, C., HENDERSON, J., LO, H. (1999). POSITIVE SOLUTIONS IN AN ANNULUS FOR NONLINEAR DIFFERENTIAL EQUATIONS ON A MEASURE CHAIN. https://doi.org/10.5556/j.tkjm.30.1999.4230

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Lihat di Sumber doi.org/10.5556/j.tkjm.30.1999.4230

Informasi Jurnal

Tahun Terbit: 1999
Bahasa: en
Total Sitasi: 14×
Sumber Database: CrossRef
DOI: 10.5556/j.tkjm.30.1999.4230
Akses: Open Access ✓